Find the LCM of 505, 707, 350, 151, 287 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 505, 707, 350, 151, 287. So, keep reading to learn more.
Given numbers are 505,707,350,151,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,707,350,151,287 is 218851850.
Find LCM of 505,707,350,151,287 with Prime Factorization
5 | 505, 707, 350, 151, 287 |
7 | 101, 707, 70, 151, 287 |
101 | 101, 101, 10, 151, 41 |
1, 1, 10, 151, 41 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 101 x 1 x 1 x 10 x 151 x 41 = 218851850
Therefore, the lowest common multiple of 505,707,350,151,287 is 218851850.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
505 x 707 x 350 x 151 x 287 = 5415489028250
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
505 : 1, 5, 101, 505
707 : 1, 7, 101, 707
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
151 : 1, 151
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,707,350,151,287, is 1.
Now, the common factors can be found like this.
505:5x 101
707:7x 101
350:2x 5x 5x 7
151:151
287:7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7x 101 = 24745
Therefore, the value for common factors is 24745.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 5415489028250/(1x24745)
LCM = 5415489028250/24745
LCM = 218851850
Thus, we can understand that the LCM of 505,707,350,151,287 is 218851850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 505, 707, 350, 151, 287?
Answer: LCM of 505, 707, 350, 151, 287 is 218851850.
2. How to calculate the LCM of 505, 707, 350, 151, 287?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 505, 707, 350, 151, 287.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.